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If \(q(x)=x^3-2x^2+x\), what is the value of \(q(-1)\)?
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Answer and explanation
Correct answer: -4
Substitute \(x=-1\) into the polynomial: \(q(-1)=(-1)^3-2(-1)^2+(-1)=-1-2-1=-4\). Thus, the correct answer is -4. Since \((-1)^2=1\), the middle term is \(-2\), not \(+2\). In exams, always use parentheses when substituting a negative value.
Frequently asked questions
What is the correct answer to this question?
-4
Why is this the correct answer?
Substitute \(x=-1\) into the polynomial: \(q(-1)=(-1)^3-2(-1)^2+(-1)=-1-2-1=-4\). Thus, the correct answer is -4. Since \((-1)^2=1\), the middle term is \(-2\), not \(+2\). In exams, always use parentheses when substituting a negative value.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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